Syllabus for
Bachelor of Science (Physics, Mathematics, Electronics)
Academic Year  (2019)

Continuous Internal assessment ( CIA) forms 50% and the end semester examination forms the other 50% of the marks in theory. CIA marks are awarded based on the their performance in assignments, MSE and class assignments ( Quiz, presentations, Moodle based tests, problem solving, minor projects, MOOC etc.). The MSE & ESE for each theory paper is of two & three hours respectively.

CIA I and CIA III are conducted by respective faculty in the form of different types of assignments.

MSE will be held for odd semesters in the month of August and even semesters in the month of January.

ESE:The theory as well as practical courses are held at the end of the semesters.

The Additional English course is offered as a second language course and seeks to introduce the students to the nuances of English literature in its varied forms and genres. The students who choose Additional English are generally proficient in the English language. Hence, instead of focusing on introducing them to language, challenging texts in terms of ideas, form, and technique are chosen. Additional English as a course is designed for students in place of a regional language. Non-Resident Indians (NRIs), foreign nationals and students who have not taken Hindi, Kannada, Tamil or French at the Plus 2 or Class XII levels are eligible to choose Additional English. The course is taught for students from different streams, namely, BA, BSc, BCom, and BBA in the first year and for BA, BSc and BCom (Regular) in the second year.

The first year syllabus is an attempt by the Department of English, Christ University to recognize and bring together the polyphonic Indian and Indian sub-continental voices in English in English translation for the Additional English students of the first year. This effort aims to familiarize the students with regional literatures in translation, Indian Writing in English (IWE) and literatures from Pakistan, Nepal and Srilanka, thereby, enabling the students to learn more about Indian culture and ethos through writings from different regions of the country. We have tried to represent in some way or the other the corners of India and the Indian sub-continent in this microcosmic world of short stories, poems and essays

There is a prescribed text bookfor the first year students, compiled by the Department of English, Christ University and intended for private circulation.

The first semester has a variety of writing from India, Pakistan and Nepal. The various essays, short stories and poems deal with various socio-economic, cultural and political issues that are relevant to modern day India and the Indian sub-continent and will enable students to comprehend issues of identity-politics, caste, religion, class, and gender. All of the selections either in the manner of their writing, the themes they deal with or the ideologies that govern them are contemporary in relevance and sensibility, whether written by contemporary writers or earlier writers. An important addition to this syllabus is the preponderance of North-Eastern writing which was hitherto not well represented. Excerpts from interviews, autobiographical writings, sports and city narratives are added to this section to introduce students to the varied genres of literature.

The objectives of this course are

to expose students to the rich literary and cultural diversity of  Indian literatures

to sensitise students on the social, political, historical and cultural ethos that has shaped the nation- INDIA

to enable to grasp and appreciate the variety and abundance of Indian writing, of which this compilation is just a passing glance

to learn and appreciate India through association of ideas in the texts and the external contexts (BhashaUtsav will be an intrinsic help in this endeavour)

The students will become

sensitive to cultural, social, religious and ethnic diversities and help them engage with their peers and all around them in a more understanding and ‘educated’ manner.

it will also enable them through the activities conducted to become more proactive citizens/participants in society.

aware of the dynamics of gender, identity, communalism and politics of this vast nation through its literature.

1.      Keki N Daruwala     “Migrations”

2.      Kamala Das            “Forest Fire”

3.      Agha Shahid Ali      “Snow on the Desert”

4.      Eunice D Souza       “Marriages are Made”

1.      Rabindranath Tagore    “Babus of Nayanjore”

2.      Ruskin Bond  “He said it with Arsenic”

3.      Bhisham Sahni       “The Boss Came to Dinner”

4.      N. Kunjamohan Singh    “The Taste of Hilsa”

5.      Mohan Thakuri                “Post Script”

1.      Mahatma Gandhi       “What is True Civilization?” (Excerpts from Hind Swaraj)

2.      Ela Bhatt                    “Organising for Change”

3.      Sitakant Mahapatra     “Beyond the Ego: New Values for a Global Neighborhood

4.      B R Ambedkar             “Waiting for A Visa”

The text book copy "Reading Diversity"

CIA 2: Mid-semester written exam for 50 marks

CIA 3: Collage, tableaus, skits, talk shows, documentaries, Quizzes or any proactive            creative assignments that might help students engage with India as a cultural space. This is to be done keeping in mind the objectives and learning outcomes of the course.

Question Paper Pattern

Mid Semester Exam: 2 hrs

Section A: 4x5= 20

Section B: 2x15=30

Total                  50

End Semester Exam: 2 hrs

Section A: 4 x 5 = 20

Section B: 2 x 15= 30

Total                   50

 Electronic devices and circuits are an integral part of day to day life. In order to enter the real world of Electronics, it is essential to have a course on Electronics devices and applications. This module starts with foundations of various networks and theorems used in Electronics. The basic principles and applications of basic devices such as diodes and transistors that revolutionized the world are covered. The concept of feedback and principles of sinusoidal oscillators are also introduced. The unit on Unipolar devices deals with the theory and applications of field effect transistors and UJT. 

The primary objectives of this course is

·       To learn the basic methods of analysing electrical dc networks using different network theorems.

·       To understand the principle and applications of half wave rectifier, full wave rectifier, filter circuits

·       To study the basic theory of bipolar junction transistor, various transistor-biasing techniques and transistor applications

·       To study the concept of feedback and basics of sinusoidal oscillators

 To understand the principles of FET and UJT

 ·       The basic methods of solving electrical dc networks using different network theorems.

 ·       Theory and applications of diode and zener diodes.

 ·  The basic theory of bipolar junction transistor, various transistor-biasing techniques and transistor applications

 ·       The concept of feedback and basic principles of sinusoidal oscillators

 ·       The theory, types and applications of FET and UJT.

Review of Electronic components. Concept of Voltage and Current Sources. Voltage and current divider circuits, Kirchhoff’s Current Law, Kirchhoff’s Voltage Law. Mesh Analysis. Node Analysis. Superposition Theorem. Thevenin’s Theorem. Norton’s Theorem. Reciprocity Theorem. Maximum Power Transfer Theorem.

PN junction diode (Ideal and practical)- constructions, Formation of Depletion Layer, Diode Equation and I-V characteristics. static and dynamic resistances, dc load line analysis, Rectifiers- Half wave rectifier, Full wave rectifiers (center tapped and bridge), ripple factor and efficiency. Filter- Shunt capacitor filter, its role in power supply, Regulation- Line and load regulation, Zener diode, Zener and avalanche breakdown. Zener diode as voltage regulator-load and line regulation, Schottky diode.

Review of the characteristics of transistor in CE and CB configurations, Regions of operation (active, cut off and saturation), Current gains α and β. Relations between α and β. dc load line and Q point. Transistor biasing and Stabilization circuits- Fixed Bias and Voltage Divider Bias. Thermal runaway, stability and stability factor S. Transistor as a two port network, h-parameter equivalent circuit. Small signal analysis of single stage CE amplifier. Input and Output impedance, Current and Voltage gains. Class A, B and C Amplifiers. Two stage RC Coupled Amplifier and its Frequency Response.

Feedback in Amplifiers: Concept of feedback, negative and positive feedback, advantages of negative feedback (Qualitative only). Sinusoidal Oscillators: Barkhausen criterion for sustained oscillations. Hartley and Colpitts oscillators. Determination of Frequency and Condition of oscillation. 

JFET. Construction, working and I-V characteristics (output and transfer), Pinch off voltage, parameters. MOSFET –principle and construction, UJT, basic construction, working, equivalent circuit and I-V characteristics, applications. 

[2]  A.P Malvino, “Principles of Electronics”, 7^th edition ,TMH, 2011.

[3] Robert L Boylestad, “Introductory circuit analysis”, 5^th edition, Universal Book Stall   2003.

[4]  R.S.Sedha, “A Text book of Applied Electronics”, 7^th edition, S.Chand and Company Ltd. 2011.

[2] David A. Bell “ Electronic Devices and Circuits”, 5th Edition, Oxford University Press, 2015

[3] A.S. Sedra, K.C. Smith, A.N. Chandorkar “Microelectronic circuits”, 6th Edn., Oxford University Press, 2014.

[4] J Millman and C. C. Halkias, “Integrated Electronics”, Tata McGraw Hill, 2001.

This practical course covers the study of network theorems, provides an overview of the principle, operation and applications of the electronic devices like diode and transistor. It provides hands on experience of circuit construction on breadboard, measurement of electrical parameters using Digital multimeter and Cathode ray oscilloscope (CRO).

To provide fundamental practical knowledge that enables the students to

·       effectively use the multimeter, CRO and measure electrical parameters

·       identify electronic components and construct the circuit on solder less bread board

·       verify network theorems (DC), study working of diode and transistor circuits

·       plot characteristics curves and output waveforms on graph sheet

·       acquire basic skills in handling the lab equipments effectively and safely

·       learn to construct circuit and study the circuit performance

·       plot the characteristics and interpret the results obtained

AT LEAST 06 EXPERIMENTS FROM THE FOLLOWING BESIDES #1

1. To familiarize with basic electronic components (R, C, L, diodes, transistors), digital

     multimeter, Function Generator and Oscilloscope.

2. Measurement of Amplitude, Frequency & Phase difference using Oscilloscope.

3. Verification of  Superposition Theorem

4. Verification of the Maximum Power Transfer Theorem.

5. Study of the I-V Characteristics of (a) p-n junction Diode, and (b) Zener diode.

6. Study of (a) Half wave rectifier and (b) Full wave rectifier (FWR).

7. Study the effect of (a) C- filter and (b) Zener regulator on the output of FWR.

8. Study of Fixed Bias and Voltage divider bias configuration for CE transistor.

9. Design of a Single Stage CE amplifier of given gain.

10. Study of the Colpitt’s  Oscillator.

French as second language for the UG program

1.      First and Last Names of French Families

2.      Few French and International personalities

1.      Greetings- Usage of “tu” and “Vous”

2.      Telephone Numbers in France 

3.      Some cultural / festive events in Paris- The Francophone

1.      Pontoise and Ile de France- The City

2.      Annecy- Youth hostel and accommodation

3.      The wording of address in France- postal codes and departments

1.      The French and sports- The Reality shows

2.      New ways of meeting- The Differences men/ women

3.      Surnames of married women/ children- Announcements and family functions

1.      Rhythm of Life and Rhythm of the city- Internet and media in daily life

2.      The Outings 

3.      Family life and Household chores- Routine and change in rhythm

1.      The tooth of the cat – Renaud FABBRI 

2.      The Princess and the pea- Odile THIEVENAZ

2.      Krishnan, Chitra. De Bouche à Oreille. New Delhi : Langers International Pvt Ltd., 2009

2. French websites like Bonjour de France, Fluent U French, Learn French Lab, Point du FLE etc.

The detailed text book “Samakaleen Hindi Kavitha” edited by Dr.N Mohanan is an anthology of contemporary Hindi Poems written by representative poets of Hindi Literature. From the medieval poetry ' Kabir Ke Dohe and Sur ke pad 'is also included.  The poets reflect on the social, cultural and political issues which are prevalent in our society since the medieval period. Hindusthani sangeeth-parampara eva kalakar is one of the module. Since translation is a significant area in language and literature, emphasis is being given on it in the syllabus.Bharath ki pramukh sanskruthik kalayein  Yakshagana,Kathakali,Ram Leela,Krishna Leela etc. included in the syllabus to enrich cultural values among students.

Course Objectves:

• to impart the knowledge of poetics
• to acquire translation skills
• to expose students to veriety of texts to interact with them
• to help students develop a taste to appreciate works of literature through the organisation of language
• to help students understand the relationship between the world around them and the text
• to improve their oral and written skills
• to expose them to the world of music

Students will be exposed to the world of poetry and Music. Through translation and cultural studies, students can understand different languages, literature and culture. Grammar portions will help the students to develop their language proficiency.

’  Samakaleen Hindi Kavitha (Collection ofcontemporary Poems)  Edited By: Mahendra Kulashreshta Rajpal and Son’s, New Delhi

Level of knowledge: Analytical

Translation-Practice                English to Hindi and vice- versa.

Ramleela,Krishnaleela,Yakshagaana,kathakali.

Utbhav,Vikas aur paramparaein

Pramukh Sangeethkar-1.Bhimsen Joshi 2.Gulam Ali 3.Pandit Ravishankar 4. Bismillah Khan.

1. 'Samakaleen Hindi Kavitha’ (Collection of Poems) Edited By: Dr.N Mohanan,  Rajpal and Son’s,New Delhi.

1. A Hand Book of Translation Studies         By: Das Bijay Kumar.               

2. Saral Subodh Hindi Vyakaran,                 By: Motilal Chaturvedi. Vinod pustak mandir, Agra-2

3. Anuvad Evam Sanchar –                         Dr Pooranchand Tantan, Rajpal and Son’s, Kashmiri

4. Anuvad Vignan                                       By: Bholanath Tiwar

5. Anuvad Kala                                           By: N.E Vishwanath Iyer.

CIA-2(Mid semester examination)-50 marks

CIA-3(Digital learning-article creation in Hindi Wikipedia)-20 marks

End sem examination-50 marks

Course Description:

The course stresses the interdisciplinary nature of terrorism studies, the role of methodological and ethical commitments in knowing and understanding terrorism, and works to instil a critical disposition in students as they grapple with and consume information about the phenomenon.

Course Objectives:

• To acquire a deep conceptual understanding of contemporary international terrorism from the point of view of both international relations (between nations) and comparative politics (within nations) 
• To understand political, social, and economic theories regarding the causes of terrorism, its control, and the consequences of implementing those controls.
• To identify geographical regions and states where the roots of terrorism are prevalent, precisely identifying those root causes where possible.
• To analyze primary/umbrella terror groups, their organizational and inter-organizational characteristics, including their recruiting, financing, and operating strategies.
• To evaluate the role and challenges of counter-terrorism mechanisms with special reference to India.

• acquire a deep conceptual understanding of contemporary international terrorism from the point of view of both international relations (between nations) and comparative politics (within nations) 
• understand political, social, and economic theories regarding the causes of terrorism, its control, and the consequences of implementing those controls.
• identify geographical regions and states where the roots of terrorism are prevalent, precisely identifying those root causes where possible.
• analyze primary/umbrella terror groups, their organizational and inter-organizational characteristics, including their recruiting, financing, and operating strategies.
• evaluate the role and challenges of counter-terrorism mechanisms with special reference to India.

 Defining Terrorism: Various components

·       Socio-economic, politico-ideological (including religion), personal, ethno-nationalism

·       Radicalization process

·       What do terrorists want?

·       How do they achieve?

·       How do they use technology to their advantage?

·       Various aspects of suicide terrorism.

·       Finance

·       State-sponsorship

·       People

·       Network

·       Role of Media

·       Intelligence

·       Military

·       Political

·       Social

·       Legislative

·       Diplomatic including international cooperation.

·       Impact of CT

Whittaker, David. The Terrorism Reader, Routledge, 2007

Weinberg, Leonard et al., “The Challenges of Conceptualizing Terrorism,” Terrorism and Political Violence, 2004

Crenshaw, Martha, “The Causes of Terrorism,” Comparative Politics, July 1981

Andrew Kydd and Barbara F. Walter, "The Strategies of Terrorism," International Security, Vol. 31, No. 1.

Daniel Benjamin, Strategic Counterterrorism

John Mueller and Mark G. Stewart, Responsible Counterterrorism Policy, 10 September 2014.

Frank Bolz, The Counterterrorism Handbook

Carpenter, William M. and David G. Wiencek (Eds.) Asian Security Handbook: Terrorism and the New Security Environment, Routledge, 2005

Ciment, James (ed.), World Terrorism: An Encyclopedia of Political Violence from Ancient Times to the Post-9/11 Era, Sharpe Reference, 2011

Crenshaw, Martha, Explaining Terrorism: Causes, Processes and Consequences, Routledge, 2011

Guelke, Adrian, The New Age of Terrorism and the International Political System, I.B. Tauris, 2009

Hoffman, Bruce. Inside Terrorism, Columbia University Press, 2006

Kanwal, Gurmeet and N. Manoharan, India’s War on Terror, Knowledge World, 2011

Mahadevan, Prem, The Politics of Counter Terrorism in India, IB Tauris, 2012

Manoharan N. and Dayani Panagoda,Developing Democracies, Counter-terror Laws and Security: Lessons from India and Sri Lanka, RCSS/Manohar, 2013

Martin, Gus, The SAGE Encyclopaedia of Terrorism, SAGE Reference, 2011

______, Essentials of Terrorism: Concepts and Controversies, SAGE, 2011

Mickolus, Edward E. and Susan I. Simmons, The Terrorist List [Five Volumes: Volume 1: Asia, Pacific and Sub-Saharan Africa; Volume 2: Western Europe; Volume 3: Eastern Europe; Volume 4: North America; and Volume 5: South America], Praeger, 2011

Muni SD, Responding to Terrorism in South Asia, Manohar, 2006

Nacos, Brigitte L., Terrorism and Counterterrorism, Longman, 2011

Neumann, Peter R., Old & New Terrorism, Polity Press, 2009

Pedazur, Ami, Israeli Secret Services and the Struggle Against Terrorism, Columbia University Press, 2008

Schmid, Alex P., The Routledge Handbook of Terrorism Research,Routledge, 2011

Whittaker, David, Terrorist and Terrorism in the Contemporary World, Routledge, 2004

Wilkinson, Paul, Terrorism Versus Democracy: The Liberal State Response, Routledge, 2007

Zimmerman, Doron, How States Fight Terrorism: Policy Dynamics in the West, Viva Books, 2008

End-term exam: 50 percent

Course Description

Select Old Kannada, Medieval Kannada and Modern Kannada Literatures are  introduced for I Semester BA/ BSc. courses in the syllabus. This will enrich the  Language and Communication  skills, Critical and analytical thinking of the students. this will help them to enhance their social sensitivity.  

Course Objectives

• To expose learners to variety of texts to interact with them
• To help learners develop a taste to appreciate works of Literature through the organization of Language
• To help learners understand the relationship between the world around them and the text
• To help lerarners to improve their oral and written skills for their respective career goals
• To help improve their communiction skills for larger academic purposes and vocational purposes

•  Develop an analytical and critical bent of mind to compare and analize the various literature they read and discuss  in class
  
• Develop a more humane and service orented aproach to all forms of life around them
• Ability to communicate effectively in speech and in writing
• Ability to use better language to communicate effectively

1. Poetry (Old Kannada literature)

1 Pampa-Bharata Bahubali Prasamga

2. Janna- Chitramapatre Ramate Naari

3. Raghavanka- Purada Punyam Purusha Roopinde Pogutide

2. Vachanas & Keerthanas (Medieval Kannada Literature)

          1. Devaradasimayya 2. Basavanna 3. Akkamahadevei

          4. Allamaprabhu 5. Urilingapeddi 6. Purandara Dasa

          7. Kanakadasa 8. Vadiraja  

  3. Modern Kannada Poetry

        1. B.M.Shree- Kaarihrggadeya Magalu

        2.  Bendre- Hakki Haarutide Nodidira

        3. Gopala Krishna Adiga- Neharu Nivruttaraguvudill

        4. G.S Shivarudrappa – Mumbai Jaataka

        5. T Yellappa- Avaru Mattu Naavu

       6. Muktayakka- Mooru Mukhagalu

1. Ramana Savaari Santege Hodaddu- K Sadashiva

       2. Chappaligalu- Sara Abubakkar

       3. Aeroplane mattu Chitte- K.P. Poornachandra Tejaswi

       4. Gilikathe: Ravindranatha Tagore (Translated by   S.G. Kulakarni)

     1.  A- H, L-l, N-n, Hrasva- Deerga, Ottakshara, Joining of words

     2. Report Writing

     3. Folk Art forms of Karnataka

       1. Adipurana- Pampa

       2. Yashodhara Charite- Janna

       3. Harishchandra Kavya- Raghavanka

       4. Shree Sahitya- B M Shreekantaiah

2. Vachana Chandrike- L Basavaraju

3. Purandara Sahitya Darshana- S K Ramachandra Rao

CIA-1 Digital Learning - Wikipedia- 20 Marks

CIA-2 Mid Semsester Examination- 50 Marks

CIA-3 Digitization of Kannada Books - 20 Marks

End Semester Examination- 50 Marks

Parliament is the highest law making body in the country. It functions in a structured manner. Both Houses of Parliament have detailed Rules of Procedure which regulate their functioning. This course aims at giving an understanding of the application of these Rules to the students so that they are able to observe and engage themselves in the parliamentary proceedings telecast live on Lok Sabha and Rajya Sabha TVs more meaningfully and effectively, thereby critically appreciate the contribution of our parliamentarians. It also aims at providing opportunities to the students through practical participation in elections and mock parliament exercises which would enhance their organization and debating skills in a democratic framework and help to understand the need to follow the procedural requirements for smooth conduct of parliament. It would also enhance their leadership skills and make them inculcate parliamentary decorum and etiquette.

Structure, powers and functions of Houses of Parliament – Loksabha,  Rajya  Sabha, Joint Sessions

Members and presiding officers, election, powers and functions, Powers of President in relation to Parliament

Classification of Bills, procedures relating to passing of Bills, presentation of Budget

Summoning, petitions, resolutions, motions, question-answers, matters of urgent public importance

Sources of Parliamentary privileges, immunities, procedure

Parliamentary Committees, Ad hoc Committees, Joint Committee

Rajya Sabha Secretariat (2002): Second Chambers-Bicameralism Today

Rajya Sabha Secretariat (2002): Emergence of Second Chamber in India

Rajya Sabha Secretariat (2003): Committee System in Rajya Sabha: An Introduction

Rajya Sabha Secretariat (2003): Ethics Committee of Rajya Sabha

Rajya Sabha Secretariat (2013): Private Members’ Legislation

Rajya Sabha Secretariat (2004): Role and Relevance of Rajya Sabha in Indian Polity

Rajya Sabha Secretariat (2004): Celebrating Rajya Sabha-The 200th Session

Rajya Sabha Secretariat (2006): Rajya Sabha at Work

Rajya Sabha Secretariat (2013): Rajya Sabha and its Secretariat A Performance Profile

Rajya Sabha Secretariat (2012): Rajya Sabha Committees: A Profile 2012

Rajya Sabha Secretariat (2013): Rules of Procedure and Conduct of Business in the Council of States

Rajya Sabha Secretariat (2010): Handbook for Members of Rajya Sabha

Rajya Sabha Secretariat (2010): Praxis of Parliamentary Committee: Recommendations of Committee

on Rules of Rajya Sabha

Rajya Sabha Secretariat (2013): Rules of Procedure (Internal Working) of the Department Related

Parliamentary Standing Committee (Rajya Sabha).

Rajya Sabha Secretariat (2013): Secretary-General Rajya Sabha: A profile and a Work study of Activities.

Barnhart, Gordon (1999): Parliamentary Committees - Enhancing Democratic Governance, Cavendish

Publishing, London.

Gupta, Ram Kishore (ed.) (1993): Parliamentary Companion - A Work for Reference and Record, Shikha

Publication, New Delhi.

Lochrie, James (2003): Meeting Procedures – Parliamentary Law and Rules of Order for the 21st Century, The

Scarecrow Press, Lanham.

May, Erskine (1997): Parliamentary Practice, Butterworths, London.

Lok Sabha Secretariat: Directions by the Speaker, Lok Sabha.

Lok Sabha Secretariat: Government and Parliament :Procedure to be Followed by Ministries in Connection with

Parliamentary Work.

Lok Sabha Secretariat (2001) : Privileges Digest – Digest of Cases (1950-2000) – Vol. I & II

Lok Sabha Secretariat (2001) : Parliamentary Privileges – Court Cases

Lok Sabha Secretariat (2015) : Speakers of Lok Sabha

Lok Sabha Secretariat (2010) : Speaker Rules

Lok Sabha Secretariat (2009) : Directions by the Speaker

Lok Sabha Secretariat (2009) : Discipline and Decorum in Parliament and  State Legislatures

Lok Sabha Secretariat (2009) : Handbook for Members Lok Sabha

Mishra, Anoop (Ed)., Kaul, M.N. & Shakdher, S.L., (2016), Practice and Procedure of Parliament, Lok Sabha Secretariat, Metropolitan Book Company Pvt. Ltd., New Delhi., 7^th Edition.

Kashyap, Subhas C., (2014), Parliamentary Procedure: Law, Privileges, Practice and Precedents, Universal Law Publishing, New Delhi, 3^rd edition.

Course Description: This course aims at enabling the students to know various concepts and principles of differential calculus and its applications.  Sound knowledge of calculus is essential for the students of mathematics for the better perceptions of the subject and its development.

Course objectives​: This course will help the learner to

COBJ1. Gain familiarity with the concepts of limit, continuity and differentiability.

COBJ2. Understand the relationship between the concepts of differentiability and continuity.

COBJ3. Analyse and interpret the different versions of mean value theorems.

COBJ4. Learn successive differentiation and nth derivative of product of two functions.

COBJ5. Find derivative of functions of more than one variable.

COBJ6. Be familiar with curve tracing.

CO1. Compute limits, derivatives and examine the continuity, differentiability of a function at a point.
CO2. Understand the properties of continuous functions and prove that differentiability implies continuity
CO3. Prove Mean value theorems and analyse its geometric interpretation.
CO4. Compute derivatives of any order and apply Leibniz’ theorem to find nth derivative of product of two functions.
CO5. Master the fundamental concepts of partial differentiation and apply Euler’s theorem for homogeneous functions.
CO6. Gain knowledge on the concepts such as asymptotes, concavity/convexity and singular points and apply the same for curve tracing.

Definition of the limit of a function (ε-δ) form – Continuity, Uniform Continuity – Types of discontinuities – Properties of continuous functions on a closed interval – Differentiability – Mean Value Theorems: Rolle’s theorem – Lagrange’s and Cauchy’s First Mean Value Theorems – Taylor’s theorem (Lagrange’s form and Cauchy’s forms of remainder) – Maclaurin’s theorem and expansions -Indeterminate forms. - Maxima and Minima.

Successive differentiation – nth derivatives of functions – Leibnitz theorem and its applications – Partial differentiation – First and higher order derivatives – Differentiation of homogeneous functions – Euler’s theorem – Taylor’s theorem for two variables (only statements and problems)- Maxima and Minima of functions of two variables.

Tangents and Normals, Curvature, Asymptotes, Singular points, Tracing of curves (Parametric representation of curves and tracing of parametric curves, Polar coordinates and tracing of curves in polar coordinates).

Course Description: The course Differential Calculus Using wxMaxima is aimed at enabling the students to appreciate and understand core concepts of Differential Calculus with the help of the free and open source mathematical software Maxima. It is designed to gain hands on experience in using MAXIMA to perform plotting of standard curves, to find limits of a function, illustrate differentiability and solve applied problems on differentiation.

Course objectives​: This course will help the learner to

COBJ1. Acquire skill in solving problems on Differential Calculus using MAXIMA.
COBJ2. Gain proficiency in using MAXIMA to solve problems on Differential Calculus.

CO1. Acquire proficiency in using MAXIMA to study Differential Calculus.
CO2. Demonstrate the use of MAXIMA to understand and interpret the core concepts various types of functions from the algebraic and graphical points of view.
CO3. Use MAXIMA to evaluate limits of functions and check for continuity graphically as well as algebraically.
CO4. Be familiar with the built-in functions to find derivatives of any order and solve application problems dealing with the concept of rate of change.
CO5. Sketch graphs of standard curves using MAXIMA to interpret tracing of curves.

1. Introduction to MAXIMA
2. Sketch the graph of various functions: explicit-implicit-parametric-polar.
3. Evaluation of limits using built-in function in maxima and illustration of the same graphically.
4. Demonstration of continuous functions and types of discontinuities.
5. Determination of derivatives. - graphical interpretation of derivatives.
6. Verification of mean value theorems.
7. Evaluation of extreme points, maxima and minima.
8. Calculation of nth derivatives of functions
9. Partial differentiation of functions of two variables.
10. Tracing of curves.
11. Applications of differentiation